Find the area of the shaded Sector
A. 8pi
B. 6pi
C. 16pi
D. 4pi

Answer:

y = 2x - 7

Step-by-step explanation:

When x is equal to 0, then the y value is your y-intercept. So, your y-intercept is -7.

Now, pick two points. Let's pick (-1,-9) and (0,-7). We can add these into the slope formula.

[tex]Slope(m)=\frac{y2-y1}{x2-x1}[/tex]

[tex]m=\frac{-7-(-9)}{0-(-1)}[/tex]

[tex]m=\frac{2}{1}[/tex]

[tex]m=2[/tex]

Now, we can use the slope and the y-intercept and put them into a slope-intercept equation.

[tex]y=mx+b[/tex]

[tex]y=2x-7[/tex]

Answer:

The polynomial hose roots are :

x = 1 - √2 and

x = 2 + √5

Is

x² - (3 + √5 + √2)x + 2 + √5 - 2√2 -√10 = 0

Step-by-step explanation:

The roots of the equation are

x = 1 - √2 and

x = 2 + √5

(x - 1 + √2)(x - 2 - √5) = 0

x²- 2x - x√5 - x + 2 + √5 + x√2 - 2√2 - √10 = 0

x² - (3 + √5 + √2)x + 2 + √5 - 2√2 -√10 = 0

This is the expanded form

Answer:

x = 12

Step-by-step explanation:

x+13=25

Subtract 13 from each side

x+13-13=25-13

x = 12

The type of function represented in the table is linear.

Let's check the type of function represented in the table.

You can tell if a table is linear by looking at how x and y change. If, as x increases by 1, y increases by a constant rate, then a table is linear. You can find the constant rate by finding the first difference.

It can also be found by using the linear equation,

y = mx + b

where

Therefore,

The x increases by y and the y increase by a constant rate of 5.

Therefore, the function represented in the table is linear.

learn more function here: https://brainly.com/question/14252853

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Answer:

[tex]\frac{36}{g}[/tex]=9

Length of fence = perimeter of trapezoid

                           = 12 + 6 + 5 + 5

                           = 28 meters

Area of garden = [tex]h (\frac{base 1 + base2}{2} )[/tex]

                         = 4([tex]\frac{12+6}{2}[/tex])

                         = 4 x 9

                         = 36 sq. meters

Answer:

Its none of the above but its 36:48 so try 36:30

Step-by-step explanation:

Answer:2/4 3/6 4/8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

[tex] \frac{2}{3} = \frac{x}{12} \\ x = \frac{2 \times 12}{3} \\ x = 2 \times 4 \\ x = 8[/tex]

Answer:

B) 8

Step-by-step explanation:

Answer:

Well to find the mean of the above

take £ as sigma

therefore,

mean= £fx/£f

This simply means the sum of all the numbers divided by the number of members

therefore,

10 + 11+12+13+14+15+16+17+18= 126

And the number of figure present on the number line are 9, therefore 126 divided by 9

giving you a result of 14

Therefore the mean of the above numbers is 14.

Answer:

It is Inaccurate: The angles in the order listed do not correspond. I just took the test

Answer:

Inaccurate. The angles in the order listed do not correspond.

Step-by-step explanation:

I am doing the test rn and I think this is the right answer

Answer:

10 ft

Step-by-step explanation:

V = l*w*h

560 = 7*8 *u

560 = 56u

divide each side by 56

560/56 = 56u/56

10 =u

Answer:

250 turkey sandwiches were delivered.

There were 230 roast beef delivered.

115 PB&J were delivered.

Step-by-step explanation:

This question is solved using a system of equations.

I am going to say that:

x is the number of turkey sandwiches.

y is the number of roast beef.

z is the number of PB&J.

Donnie delivered 595 box lunches

This means that [tex]x + y + z = 595[/tex]

There were 20 more turkey sandwiches then roast beef.

This means that [tex]x = y + 20[/tex]

There were twice as many roast beef has PB&J.

This means that [tex]y = 2z[/tex].

So in the second equation, we have that [tex]x = 2z + 20[/tex]

Replacing this in the first equation:

[tex]x + y + z = 595[/tex]

[tex]2z + 20 + 2z + z = 595[/tex]

[tex]5z = 575[/tex]

[tex]z = \frac{575}{5}[/tex]

[tex]z = 115[/tex]

115 PB&J were delivered.

[tex]x = 2z + 20 = 2*115 + 20 = 250[/tex]

250 turkey sandwiches were delivered.

[tex]x = y + 20[/tex]

So

[tex]y = x - 20 = 250 - 20 = 230[/tex]

There were 230 roast beef delivered.

Answer: 4.8 hours.

Step-by-step explanation:

To find how long it would take to travel the same distance at a slower speed, find the speed the car is currently driving at.

Speed is distance over time, or in this case, miles per hour.

360 / 4 = 90 miles per hour.

The car is travelling 15 miles per hour slower, so the new speed is 90 - 15, or 75 miles per hour.

You can now use the same equation to find the time travelled:

360 / x = 75

360 = 75x

Divide both sides by 75 to get your answer:

4.8 = x

It would take the car 4.8 hours to travel the same distance.

Answer:

- The number of small boxes that will fill the large box 1 = 64

- The number of small boxes that will fill the large box 2 = 56

Step-by-step explanation:

Complete Question

Items for a fundraiser are packaged in small boxes shaped like rectangular prisms that are 4.5 inches long, 4.5 inches wide, and 8 inches tall. To transport the items to an event, you want to know how many of the small boxes will fit in larger boxes. The larger boxes are available in two sizes. Large Box 1 is 24.25 inches long, 18 inches wide, and 24 inches tall. Large Box 2 is 20.5 inches long, 18.5 inches wide, and 24 inches tall. Both the small and large boxes must remain upright.

Solution

To know how many of the small boxes will fit in larger boxes, we need to obtain the volumes of the small box, large box 1 and large box 2.

Volume of a cuboid = L × W × H

For the small box,

Length = L = 4.5 inches

Width = W = 4.5 inches

Height = H = 8 inches

Volume of the small box = 4.5 × 4.5 × 8 = 162 in³

For large box 1,

Length = L = 24.25 inches

Width = W = 18 inches

Height = H = 24 inches

Volume of the large box 1 = 24.25 × 18 × 24 = 10,476 in³

For large box 2

Length = L = 20.5 inches

Width = W = 18.5 inches

Height = H = 24 inches

Volume of the large box 2 = 20.5 × 18.5 × 24 = 9,102 in³

The number of small boxes that'll fill the large box 1 = (10,476/162) = 64.667 = 64 small boxes (rounded down because the fraction cannot be forced into the large box 1.

The number of small boxes that will fill the large box 2 = (9,102/162) = 56.185 = 56 small boxes.

Hope this Helps!!!

Answer:

C = 2πr

Step-by-step explanation:

The formula for the circumference of a circle is C = πd, and since the diameter, d, is equal to double the radius, 2r, we can replace 2r for d. Giving us C = 2πr

Answer: 24 inches.

Step-by-step explanation:

You can find the perimeter of the polygon by adding the side lengths.

First, find the missing side lengths.

There is a short space between the right side of the square above the triangle. The triangle is 3 inches tall, and the square is 4 inches tall, so that space is 1 inch long.

We can then add the sides to find the perimeter:

4 + 9 + 5 + 1 + 5 = 24 inches long.

Keep in mind that the three inches of the triangle is not included in the sum because it is not on the outside of the polygon. The perimeter only includes the lengths of the exterior sides.

Answer:

C

Step-by-step explanation:

Let's compare 3/7 and 3/4 first. These two fractions have the same numerator but not the same denominator, so the fraction with the smaller denominator will be larger. Therefore, 3/4 is larger, so we can eliminate A.

4/9 is less than 1/2, and 3/4 is greater than 1/2, so 3/4 is greater than 4/9 and we can eliminate B. The same goes for D.

Therefore, our answer is C) Robert. Hope this helps!

Answer:

[tex]5(x-2)(x+2)[/tex]

Step-by-step explanation:

Factor out 5:

[tex]5(x^2-4)[/tex]

Use difference of squares formula for the inside:

[tex]5(x-2)(x+2)[/tex]

the answer would be 27% :3

Answer:

27%

Step-by-step explanation:

Answer:

x°= 34°

m<x and angle measuring 34° are corresponding angles since two lines are parallel with a third line intersecting them.

Answer:A

Step-by-step explanation:

Side lengths do not adhere to the triangle inequality theorem.

Step-by-step explanation:

Step 1:  Answer the question

They are independent because the cards are always going to stay the same.  If each card that was picked and discarded, that would alter the future which would make it dependent.  But... since it doesn't change the cards, it is independent.

Answer: independent

Answer:

Independent

Step-by-step explanation:

Since the second selection is made after replacement, the options are exactly the same as the first selection. Therefore the second selection doesn't depend on the first one. Hence, they are independent

If it was without replacement, they would have been dependent

Answer:

Step-by-step explanation:

Answer:

A = $ 7,299.92

A = P + I where

P (principal) = $ 6,000.00

I (interest) = $ 1,299.92

Step-by-step explanation:

A = P(1 + r/n)nt

Where:

A = Accrued Amount (principal + interest)

P = Principal Amount

I = Interest Amount

R = Annual Nominal Interest Rate in percent

r = Annual Nominal Interest Rate as a decimal

r = R/100

t = Time Involved in years, 0.5 years is calculated as 6 months, etc.

n = number of compounding periods per unit t; at the END of each period

Answer:

The 5!

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

because it is the 3rd number from the ones place